TMD factorization for dijet and heavy-meson pair in DIS

Understand

We study a transverse momentum dependent (TMD) factorization framework for the processes of di-jet and heavy meson pair production in deep-inelastic-scattering in an electron-proton collider, considering the measurement of the transverse momentum imbalance of the two hard probes in the Breit frame.

• For the factorization theorem we employ soft-collinear and boosted-heavy-quark effective field theories.
• The factorized cross-section for both processes is sensitive to gluon unpolarized and linearly polarized TMD distributions and requires the introduction of a new soft function.
• We calculate the new soft function here at one loop, regulating rapidity divergences with the $\delta$-regulator.